We study several versions of the improved geometric Rellich inequalities in the setting of identities. Our results present an easy and explicit way to understand the sharp constants as well as the nonexistence of optimizers for many geometric Rellich’s type inequalities.

中文翻译：

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关于半空间上的 Rellich 不等式的注解

我们研究了恒等式设置中改进的几何 Rellich 不等式的几个版本。我们的结果提供了一种简单而明确的方法来理解锐利常数以及许多几何 Rellich 类型不等式的优化器的不存在。